Accession Number:

AD0260732

Title:

WAITING FOR A GAP IN TRAFFIC

Descriptive Note:

Corporate Author:

CALIFORNIA UNIV BERKELEY OPERATIONS RESEARCH CENTER

Personal Author(s):

Report Date:

1961-06-15

Pagination or Media Count:

29.0

Abstract:

The waiting-time is considered of a driver on a secon ary road who wishes to enter or cross a primary traffic stream, given that he will do so only when the spacing to the next vehicle is at least as great as some fixed critical gap. The initial waiting-time distribution and its first two moments are obtained under the assumption of arbitrary starting-up and headway distributions of the primary traffic stream. Under the assumption that only one car may enter the intersection per gap, the distribution of successive waiting times the inter-gap distribution and its moments are obtained. The counting distribution of the passing of gaps is then used to describe the numbers of cars which leave the secondary road during a fixed interval of time. Various asymptotic and limiting results are demonstrated, together with the special results obtained when the traffic is P isson. The necessary modifications for other gap criteria are also indicated.

Subject Categories:

  • Surface Transportation and Equipment

Distribution Statement:

APPROVED FOR PUBLIC RELEASE